What is the x-component of turning point of the parabola whose equation is `y=3x^2-6x-1`

Find the length of the chord of the parabola y^(2)=8x, whose equation is x+y=1

Examine whether the following points lie on the locus whose equation is x^2+y^2+6x-6y-47=0 (1,-4)

y=x^2-3x-4 is a parabola whose mouth is

Examine whether the following points lie on the locus whose equation is x^2+y^2+6x-6y-47=0 (2,3)

Examine whether the following points lie on the locus whose equation is x^2+y^2+6x-6y-47=0 (5,2)

What is the area of the region bounded by the parabola y^(2)=6(x-1) and y^(2)=3x ?

Equation of the tangent at the point t=-3 to the parabola y^(2)=3x is

Equation of the tangent at the point t=-3 to the parabola y^2 = 3x is

Tangents are drawn to the ellipse (x^(2))/(36)+(y^(2))/(9)=1 from any point on the parabola y^(2)=4x. The corresponding chord of contact will touch a parabola,whose equation is